Are SOLID principles really solid?
As you will one day discover, none of the most known principles in software development can be 100% followed.
Programming is often about making compromises - abstract pureness vs. code size vs. speed vs.efficiency.
You just need to learn to find the right balance: not let your application fall into abyss of chaos but not tie yourself hands with multitude of abstraction layers.
I don't think that being serializable or disposable amounts to multiple responsibilities.
Well I suppose the first thing to note is that these are just good Software Engineering principles - you have to apply judgment also. So in that sense - no they are not solid (!)
I think the question you asked raises the key point - how do you define the single resposibility that the class should have?
It is important not to get too bogged down on details when defining a responsibility - just because a class does many things in code dosn't mean that it has many responibilities.
However, please do stick with it though. Although it is probably impossible to apply in all cases - it is still better than having a single "God Object" (Anti-Pattern) in your code.
If you are having problems with these I would recommend reading the following:
Refactoring - Martin Fowler: Although it is obviously about refactoring, this book is also very helpful in displaying how to decompose problems into their logical parts or resposibilities - which is key to SRP. This book also touches on the other principles - however it does it in a lot less academic way than you may have seen before.
Clean Code - Robert Martin: Who better to read than the greatest exponent of the SOLID principles. Seriously, I found this to be a really helpful book in all areas of software craftsmanship - not just the SOLID principles. Like Fowler's book, this book is pitched at all levels of experiance so I would recommend to anyone.